Answer:
x=±![\sqrt{15/2}](https://tex.z-dn.net/?f=%5Csqrt%7B15%2F2%7D)
Step-by-step explanation:
Answer:
Step-by-step explanation:
J = (1/3)M + 2 <=== ur expression would be : (1/3)M + 2
A = 2J - 5
if marcella is 63....
J = (1/3 * 63) + 2 A = 2J - 5
J = 63/3 + 2 A = 2(23) - 5
J = 21 + 2 A = 46 - 5
J = 23 <== justin's age A = 41 <=== Aimee's age
Answer:
5.8 cm
Step-by-step explanation:
Area of the shaded sector of the circle = 31.2 cm²
Angle (θ) of the minor sector = 360 - 256 = 104°
Are of sector of a circle is given as, θ/360*πr²
Therefore:
![\frac{104}{360}*3.142*r^2 = 31.2](https://tex.z-dn.net/?f=%20%5Cfrac%7B104%7D%7B360%7D%2A3.142%2Ar%5E2%20%3D%2031.2%20)
![0.29*3.142*r^2 = 31.2](https://tex.z-dn.net/?f=%200.29%2A3.142%2Ar%5E2%20%3D%2031.2%20)
![0.91*r^2 = 31.2](https://tex.z-dn.net/?f=%200.91%2Ar%5E2%20%3D%2031.2%20)
Divide both sides by 0.91
![\frac{0.91*r^2}{0.91} = \frac{31.2}{0.91}](https://tex.z-dn.net/?f=%20%5Cfrac%7B0.91%2Ar%5E2%7D%7B0.91%7D%20%3D%20%5Cfrac%7B31.2%7D%7B0.91%7D%20)
![r^2 = \frac{31.2}{0.91}](https://tex.z-dn.net/?f=%20r%5E2%20%3D%20%5Cfrac%7B31.2%7D%7B0.91%7D%20)
![r^2 = 34.286](https://tex.z-dn.net/?f=%20r%5E2%20%3D%2034.286%20)
![r = \sqrt{34.286}](https://tex.z-dn.net/?f=%20r%20%3D%20%5Csqrt%7B34.286%7D%20)
(nearest tenth)
Let
x ----------> the height of the whole poster
<span>y ----------> the </span>width<span> of the whole poster
</span>
We need
to minimize the area A=x*y
we know that
(x-4)*(y-2)=722
(y-2)=722/(x-4)
(y)=[722/(x-4)]+2
so
A(x)=x*y--------->A(x)=x*{[722/(x-4)]+2}
Need to minimize this function over x > 4
find the derivative------> A1 (x)
A1(x)=2*[8x²-8x-1428]/[(x-4)²]
for A1(x)=0
8x²-8x-1428=0
using a graph tool
gives x=13.87 in
(y)=[722/(x-4)]+2
y=[2x+714]/[x-4]-----> y=[2*13.87+714]/[13.87-4]-----> y=75.15 in
the answer is
<span>the dimensions of the poster will be
</span>the height of the whole poster is 13.87 in
the width of the whole poster is 75.15 in